Hypergraphs and Cellular Networks
Publication Date
May 29, 2009
Journal
PLOS Computational Biology
Authors
Steffen Klamt, Utz Uwe Haus & Fabian Theis
Volume
5
Issue
5
Pages
e1000385
DOI
https://dx.plos.org/10.1371/journal.pcbi.1000385
Publisher URL
http://journals.plos.org/ploscompbiol/article?id=10.1371%2Fjournal.pcbi.1000385
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/19478865
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2673028
Europe PMC
http://europepmc.org/abstract/MED/19478865
Web of Science
000267081300003
Scopus
67049098922
Mendeley
http://www.mendeley.com/research/hypergraphs-cellular-networks
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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/896235"], "description"=>"<p>Detailed explanations are given in the text.</p>", "links"=>[], "tags"=>["undirected", "directed", "hypergraphs", "arising", "in", "networks"], "article_id"=>566688, "categories"=>["Computational Biology", "Biological Sciences", "Infectious Diseases", "Medicine"], "users"=>["Steffen Klamt", "Utz-Uwe Haus", "Fabian Theis"], "doi"=>["https://dx.doi.org/10.1371/journal.pcbi.1000385.g001"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Examples_of_undirected_A_B_and_directed_C_D_hypergraphs_arising_in____the_context_of_biological_networks_analysis_/566688", "title"=>"Examples of undirected (A,B) and directed (C,D) hypergraphs arising in\n the context of biological networks analysis.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-21 05:46:56"}
  • {"files"=>["https://ndownloader.figshare.com/files/896312"], "description"=>"<p>Choose two distinct hyperedges and two different vertices contained in either\n of the two. Then swap them. Clearly this operation keeps both degree\n distributions fixed. After a certain number of iterations, the\n thus-generated Markov chain produces independent samples of the underlying\n random hypergraph with given degree distributions. In the figure, this is\n illustrated using the in-this-case simpler-to-visualize bipartite version.\n The gray double-arrows indicate edges to be swapped. Each of the three\n swaps, (A,H<sub>2</sub>)–(C,H<sub>3</sub>),\n (B,H<sub>1</sub>)–(E,H<sub>3</sub>), and\n (B,H<sub>3</sub>)–(D,H<sub>1</sub>), does not change the\n vertex and edge degrees. Significance analysis of the CORUM protein complex\n hypergraph was done in <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1000385#pcbi.1000385-Wong1\" target=\"_blank\">[44]</a> using this idea.</p>", "links"=>[], "tags"=>["hypergraph", "null"], "article_id"=>566774, "categories"=>["Computational Biology", "Biological Sciences", "Infectious Diseases", "Medicine"], "users"=>["Steffen Klamt", "Utz-Uwe Haus", "Fabian Theis"], "doi"=>["https://dx.doi.org/10.1371/journal.pcbi.1000385.g002"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Generating_a_hypergraph_null_model_by_rewiring_/566774", "title"=>"Generating a hypergraph null model by rewiring.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-21 05:47:38"}

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